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Finding the Fourth Proportional to 52,647.44, 72,630.16 and 31,414.44

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Solution

The fourth proportional to 52,647.44, 72,630.16 and 31,414.44 is: 43,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647.44 : 72,630.16 = 31,414.44 : x
  2. Step 2: Convert to fraction form
    52,647.44/72,630.16 = 31,414.44/x
  3. Step 3: Cross multiply
    52,647.44x = 72,630.16 × 31,414.44
  4. Step 4: Simplify right side
    52,647.44x = 2,281,635,724.97
  5. Step 5: Solve for x
    x = 2,281,635,724.97/52,647.44
  6. Step 6: Final answer
    x = 43,338.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.